455828706816 has 160 divisors (see below), whose sum is σ = 1389079093248. Its totient is φ = 130120089600.

The previous prime is 455828706733. The next prime is 455828706833. The reversal of 455828706816 is 618607828554.

It is a super-3 number, since 3×455828706816³ (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 455828706816.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12357136 + ... + 12393968.

Almost surely, 2^455828706816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455828706816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694539546624).

455828706816 is an abundant number, since it is smaller than the sum of its proper divisors (933250386432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

455828706816 is a wasteful number, since it uses less digits than its factorization.

455828706816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38012 (or 37996 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 60.

The spelling of 455828706816 in words is "four hundred fifty-five billion, eight hundred twenty-eight million, seven hundred six thousand, eight hundred sixteen".